The ratio of the number of boys to the number of girls in a choir is 6 to 5. There are 45 girls in the choir. How many boys are in the choir?
Responses
A 5454
B 66
C 6161
D 39
We can start by setting up a proportion:
6/5 = x/45
To solve for x (the number of boys), we can cross-multiply:
6 * 45 = 5 * x
270 = 5x
Dividing both sides by 5:
x = 54
Therefore, there are 54 boys in the choir.
Answer: A) 54
To find the number of boys in the choir, we need to know the ratio of boys to girls and the number of girls in the choir.
Given that the ratio of boys to girls is 6 to 5, we can set up the proportion:
Boys/Girls = 6/5
We are also given that there are 45 girls in the choir, so we can substitute this value into the proportion:
Boys/45 = 6/5
Cross-multiplying, we get:
5 * Boys = 6 * 45
Simplifying, we get:
5 * Boys = 270
Dividing both sides by 5, we find:
Boys = 270/5 = 54
Therefore, there are 54 boys in the choir.
The correct answer is not provided in the options given.
To find the number of boys in the choir, you can use the given ratio and the number of girls in the choir.
The ratio of boys to girls is given as 6 to 5. This means that for every 6 boys, there are 5 girls.
Given that there are 45 girls in the choir, we can set up a proportion to find the number of boys:
6 boys / 5 girls = X boys / 45 girls
Cross-multiplying, we get:
6 * 45 = 5 * X
Simplifying:
270 = 5X
Dividing both sides by 5:
54 = X
Therefore, there are 54 boys in the choir.
Looking at the answer choices, we see that none of them match. However, none of the answer choices provided seems to be correct.